Question

Lorna and Lupe are playing a ring toss game at the fair. The cost to play the game depends on the number of rings purchased. The cost is described in the piecewise function, where x is the number of rings purchased. Lorna and Lupe each want to purchase 5 rings. What is the difference in price if they each separately purchase 5 rings compared to making one purchase of 10 rings? Round the answer to the nearest cent.

f(x)=⎧⎩⎨⎪⎪2x,1.5x,1.25x, 0≤x≤34≤x≤7x≥8


(1 point)
They would save a total of $
if they made one purchase of 10 rings.

Answer 1

For 5 rings each (x = 5), each pays f(5) = 1.5(5) = $7.50, so separately they pay $7.50 × 2 = $15.00.
One purchase of 10 rings (x = 10) costs f(10) = 1.25(10) = $12.50.
Savings = $15.00 − $12.50 = $2.50.

They would save a total of $2.50.